, .

" ", "" " ". .
18.03.2013

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1. .

: , , , , , - .


:

2m2 = n2 .

: . 2, 2. n = 2n1, n1Z (, 2, 2).

2m2 = 4n12;

m2 = 2n12.

2, m = 2m1, m1Z.

4m12 = 2n12;

2m12 = n12.

, (m; n) , (m1; n1) 2, . .. (m1; n1) . 2, . 0 .

: m = n = 0


2. .

- . .


:

, x2 = 3y + 2 .

: , x, yN. 3. 2 3 y. , , 3 0 1 ( " "). , .

, 0. , .

, y - , .. , - .

, x - , , .. , (-x)2 = (x)2.

, , .



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